Let's divide 581418 by 43
Our goal is to divide 581418 by 43.

Moving on to step 1:
5 divided by 43 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 43

Moving on to step 2:
The number 43 fits into 58 1 times, leaving a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 43 from 58, we get 15.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 43

Let's proceed to step 3:
The number 43 fits into 151 3 times, leaving a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
If we subtract 129 from 151, we get 22.
Grab the next digit (4) from the dividend, add it to 22, then carry on: 224 / 43

Moving on to step 4:
When dividing 224 by 43, we get 5 with a remainder of 9.
Use 5 as the next digit of our solution. 
Result so far: 135.0
If we take 215 away from 224, we end up with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 43

Advancing to step 5:
43 goes into 91 2 times with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 1352.0
If we take 86 away from 91, we end up with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 43

On to step 6:
43 goes into 58 1 times with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 13521.0
The remainder is 15 after subtracting 43 from 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
The number 43 fits into 150 3 times, leaving a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 13521.3
If we take 129 away from 150, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 8:
If we divide 210 by 43, we get 4 and a remainder of 38.
The next digit of our result is 4. 
Result so far: 13521.34
Subtract 172 from 210 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 9:
If we divide 380 by 43, we get 8 and a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 13521.348
Deduct 344 from 380 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 10:
43 can be fit into 360 8 times, resulting in a remainder of 16.
The next digit of our result is 8. 
Result so far: 13521.3488
Subtracting 344 from 360 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 13521.3488 with a remaining 0.00016.